COMPLETE MATHEMATICS NOTES
FOR HIGH SCHOOLS
1
WWW.TEACHER.CO.KE
,About the book
Education is a key for a countries development, but it becomes a hindrance when it is unequally
distributed. This big problem of disparity in Education system can be solved through technology.
Hence it’s high time we embrace technology in Education sooner than later.
Teachers will therefore use the book in their laptops to teach and even give students notes to read
online after revision.
The book is divided into three parts:
Part one – paper one
Part two – paper two
2
WWW.TEACHER.CO.KE
,Acknowledgment
We would like to acknowledge K.L.B for using some of their examples and illustration. We
would also like to acknowledge K.N.E.C for using their past papers or revision questions.
3
WWW.TEACHER.CO.KE
, Table of Contents
Format for mathematics paper one-------------------------------------------------------10
Natural Numbers --------------------------------------------------------------------------11
Factors -------------------------------------------------------------------------------------18
Divisibility test ----------------------------------------------------------------------------23
G.C.D ---------------------------------------------------------------------------------------26
L.C.M ---------------------------------------------------------------------------------------29
Integers------------------------------------------------------------------------------------32
Fractions ----------------------------------------------------------------------------------38
Decimals -----------------------------------------------------------------------------------53
Square and square roots ------------------------------------------------------------------63
Algebra and algebraic expressions -------------------------------------------------------69
Rates, Ratio, proportion and percentages--------------------------------------------------79
Length --------------------------------------------------------------------------------------90
Area ---------- ------------------------------------------------------------------------------98
Volume and capacity ----------------------------------------------------------------------113
Mass, weight and density-----------------------------------------------------------------119
Time ---------------------------------------------------------------------------------------124
Linear inequalities ------------------------------------------------------------------------129
Commercial arithmetic -------------------------------------------------------------------140
Co-ordinates and graphs -----------------------------------------------------------------150
Angles and Plane Figures------------------------------------------------------------------155
Geometric construction-------------------------------------------------------------------167
Scale drawing -----------------------------------------------------------------------------180
Common solids ----------------------------------------------------------------------------195
Cubes and cube roots --------------------------------------------------------------------209
Reciprocal ---------------------------------------------------------------------------------212
Indices and logarithms------------------------------------------------------------------- 216
Gradient and Equation of a straight line------------------------------------------------ 227
Reflection and congruence----------------------------------------------------------------235
Rotation------------------------------------------------------------------------------------241
Similarity and Enlargement ------------------------------------------------------------- 245
The Pythagoras theorem ---------------------------------------------------------------- 256
Trigonometric ratios ---------------------------------------------------------------------259
Area of a triangle ----------------------------------------------------------- 267
Area of quadrilateral -------------------------------------------------------- 270
Area part of a circle --------------------------------------------------------- 277
Surface area of solids --------------------------------------------------------288
Volume of solids ---------------------------------------------------------------302
Quadratic equations and expressions --------------------------------------- 315
Linear inequality --------------------------------------------------------------322
4
WWW.TEACHER.CO.KE
FOR HIGH SCHOOLS
1
WWW.TEACHER.CO.KE
,About the book
Education is a key for a countries development, but it becomes a hindrance when it is unequally
distributed. This big problem of disparity in Education system can be solved through technology.
Hence it’s high time we embrace technology in Education sooner than later.
Teachers will therefore use the book in their laptops to teach and even give students notes to read
online after revision.
The book is divided into three parts:
Part one – paper one
Part two – paper two
2
WWW.TEACHER.CO.KE
,Acknowledgment
We would like to acknowledge K.L.B for using some of their examples and illustration. We
would also like to acknowledge K.N.E.C for using their past papers or revision questions.
3
WWW.TEACHER.CO.KE
, Table of Contents
Format for mathematics paper one-------------------------------------------------------10
Natural Numbers --------------------------------------------------------------------------11
Factors -------------------------------------------------------------------------------------18
Divisibility test ----------------------------------------------------------------------------23
G.C.D ---------------------------------------------------------------------------------------26
L.C.M ---------------------------------------------------------------------------------------29
Integers------------------------------------------------------------------------------------32
Fractions ----------------------------------------------------------------------------------38
Decimals -----------------------------------------------------------------------------------53
Square and square roots ------------------------------------------------------------------63
Algebra and algebraic expressions -------------------------------------------------------69
Rates, Ratio, proportion and percentages--------------------------------------------------79
Length --------------------------------------------------------------------------------------90
Area ---------- ------------------------------------------------------------------------------98
Volume and capacity ----------------------------------------------------------------------113
Mass, weight and density-----------------------------------------------------------------119
Time ---------------------------------------------------------------------------------------124
Linear inequalities ------------------------------------------------------------------------129
Commercial arithmetic -------------------------------------------------------------------140
Co-ordinates and graphs -----------------------------------------------------------------150
Angles and Plane Figures------------------------------------------------------------------155
Geometric construction-------------------------------------------------------------------167
Scale drawing -----------------------------------------------------------------------------180
Common solids ----------------------------------------------------------------------------195
Cubes and cube roots --------------------------------------------------------------------209
Reciprocal ---------------------------------------------------------------------------------212
Indices and logarithms------------------------------------------------------------------- 216
Gradient and Equation of a straight line------------------------------------------------ 227
Reflection and congruence----------------------------------------------------------------235
Rotation------------------------------------------------------------------------------------241
Similarity and Enlargement ------------------------------------------------------------- 245
The Pythagoras theorem ---------------------------------------------------------------- 256
Trigonometric ratios ---------------------------------------------------------------------259
Area of a triangle ----------------------------------------------------------- 267
Area of quadrilateral -------------------------------------------------------- 270
Area part of a circle --------------------------------------------------------- 277
Surface area of solids --------------------------------------------------------288
Volume of solids ---------------------------------------------------------------302
Quadratic equations and expressions --------------------------------------- 315
Linear inequality --------------------------------------------------------------322
4
WWW.TEACHER.CO.KE
